Question 4. You are at the controls of a particle accelerator, sending a beam of protons (mass m) with velocity 3.6 × 107 m/s at a gas target of an unknown element. Your detector tells you that some protons bounce straight back after a collision with on of the nuclei of the unknown element. All such protons rebound with a speed of 3.3 x 107 m/s. Assume that the initial speed of the target nucleus is negligible and the collision is elastic. Hint: obtain a symbolic answer before plugging in numbers. (a) Find the mass of one nucleus of the unknown element. Express your answer in terms of the proton mass m. (b) What is the speed of the unknown nucleus immediately after such a collision?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter8: Momentum And Collisions
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Question 4

Question 4.
You are at the controls of a particle accelerator, sending a beam of protons (mass m) with velocity 3.6 x 107
m/s at a gas target of an unknown element. Your detector tells you that some protons bounce straight back
after a collision with on of the nuclei of the unknown element. All such protons rebound with a speed of
3.3 x 107 m/s. Assume that the initial speed of the target nucleus is negligible and the collision is elastic.
Hint: obtain a symbolic answer before plugging in numbers.
(a) Find the mass of one nucleus of the unknown element. Express your answer in terms of the proton
mass m.
(b) What is the speed of the unknown nucleus immediately after such a collision?
Transcribed Image Text:Question 4. You are at the controls of a particle accelerator, sending a beam of protons (mass m) with velocity 3.6 x 107 m/s at a gas target of an unknown element. Your detector tells you that some protons bounce straight back after a collision with on of the nuclei of the unknown element. All such protons rebound with a speed of 3.3 x 107 m/s. Assume that the initial speed of the target nucleus is negligible and the collision is elastic. Hint: obtain a symbolic answer before plugging in numbers. (a) Find the mass of one nucleus of the unknown element. Express your answer in terms of the proton mass m. (b) What is the speed of the unknown nucleus immediately after such a collision?
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